ePubs

The open archive for STFC research publications

Full Record Details

Persistent URL http://purl.org/net/epubs/work/50740
Record Status Checked
Record Id 50740
Title On iterative methods and implicit-factorization preconditioners for regularized saddle-point systems
Contributors
Abstract We consider conjugate-gradient like methods for solving block symmetric indefinite linear systems that arise from saddle point problems or, in particular, regularizations thereof. Such methods require preconditioners that preserve certain sub-blocks from the original systems but allow considerable flexibility for remaining blocks. We construct fourteen families of implicit factorizations that are capable of reproducing the required sub-blocks and (some) of the remainder. These generalise known implicit factorizations for the unregularized case. Improved eigenvalue clustering is possible if additionally some of the non-crucial blocks are reproduced. Numerical experiments confirm that these implicit-factorization preconditioners can be very effective in practice.
Organisation CCLRC , CSE , CSE-NAG
Keywords
Funding Information
Related Research Object(s):
Language English (EN)
Type Details URI(s) Local file(s) Year
Report RAL Technical Reports RAL-TR-2005-011. 2005. dgswRAL2005011.pdf 2005
Showing record 1 of 1